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Finding the Fourth Proportional to 9,907.76, 14,866.47 and 4,360.41

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Solution

The fourth proportional to 9,907.76, 14,866.47 and 4,360.41 is: 6,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.76 : 14,866.47 = 4,360.41 : x
  2. Step 2: Convert to fraction form
    9,907.76/14,866.47 = 4,360.41/x
  3. Step 3: Cross multiply
    9,907.76x = 14,866.47 × 4,360.41
  4. Step 4: Simplify right side
    9,907.76x = 64,823,904.45
  5. Step 5: Solve for x
    x = 64,823,904.45/9,907.76
  6. Step 6: Final answer
    x = 6,542.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.